Search a number
-
+
1041014142 = 2327171925579
BaseRepresentation
bin111110000011001…
…001110101111110
32200112211222221100
4332003021311332
54112444423032
6251144313530
734540321440
oct7603116576
92615758840
101041014142
11494697373
122507728a6
1313789a4cc
149c386490
15615d397c
hex3e0c9d7e

1041014142 has 96 divisors (see below), whose sum is σ = 2873145600. Its totient is φ = 265192704.

The previous prime is 1041014101. The next prime is 1041014209. The reversal of 1041014142 is 2414101401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27909 + ... + 53487.

It is an arithmetic number, because the mean of its divisors is an integer number (29928600).

Almost surely, 21041014142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041014142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436572800).

1041014142 is an abundant number, since it is smaller than the sum of its proper divisors (1832131458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041014142 is a wasteful number, since it uses less digits than its factorization.

1041014142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25630 (or 25627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1041014142 is about 32264.7507661225. The cubic root of 1041014142 is about 1013.4886197512.

Adding to 1041014142 its reverse (2414101401), we get a palindrome (3455115543).

The spelling of 1041014142 in words is "one billion, forty-one million, fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 25579 40698 51158 76737 153474 179053 230211 358106 434843 460422 486001 537159 869686 972002 1074318 1304529 1458003 1611477 2609058 2916006 3043901 3222954 3402007 3913587 4374009 6087802 6804014 7827174 8262017 8748018 9131703 10206021 16524034 18263406 20412042 24786051 27395109 30618063 49572102 54790218 57834119 61236126 74358153 115668238 148716306 173502357 347004714 520507071 1041014142